In a small pot over medium heat, add vinegar, honey, 3 tablespoons tamari and ketchup. Bring to a gentle simmer. In a small dish, dissolve arrowroot powder in 1 tablespoon water to create a slurry. Whisk into sauce, and remove from heat. Sauce should thicken so that it coats the back of a spoon.
Remove tails from shrimp, and roughly chop shrimp into small pieces.
In a large sauté pan, heat sesame oil over medium heat. Add pork, and sauté about 7 minutes, until no longer pink.
Add cabbage, carrots, green onion, garlic, ginger, remaining 2 tablespoons tamari and salt. Cover, and cook for about 5 minutes, until cabbage softens. Stir in shrimp, and cook for 2–3 minutes, until shrimp is no longer translucent but white in color.
Divide sauté between bowls, and drizzle with sauce. Garnish with sesame seeds.